{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 21点游戏的蒙特卡洛学习策略迭代"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 蒙特卡罗控制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from blackjack import Player, Dealer, Arena\n",
    "from utils import str_key, set_dict, get_dict\n",
    "from utils import draw_value, draw_policy\n",
    "from utils import epsilon_greedy_policy\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class MC_Player(Player):\n",
    "    '''具备蒙特卡罗控制能力的玩家\n",
    "    '''\n",
    "    def __init__(self, name = \"\", A = None, display = False):\n",
    "        super(MC_Player, self).__init__(name, A, display)\n",
    "        self.Q = {}   # 某一状态行为对的价值，策略迭代时使用\n",
    "        self.Nsa = {} # Nsa的计数：某一状态行为对出现的次数\n",
    "        self.total_learning_times = 0\n",
    "        self.policy = self.epsilon_greedy_policy # \n",
    "        self.learning_method = self.learn_Q # 有了自己的学习方法\n",
    "    \n",
    "    def learn_Q(self, episode, r): # 从状态序列来学习Q值\n",
    "        '''从一个Episode学习\n",
    "        '''\n",
    "        #for episode, r in episodes:\n",
    "        for s, a in episode:\n",
    "            nsa = get_dict(self.Nsa, s, a)\n",
    "            set_dict(self.Nsa, nsa+1, s, a)\n",
    "            q = get_dict(self.Q, s,a)\n",
    "            set_dict(self.Q, q+(r-q)/(nsa+1), s, a)\n",
    "        self.total_learning_times += 1\n",
    "    \n",
    "    def reset_memory(self):\n",
    "        '''忘记既往学习经历\n",
    "        '''\n",
    "        self.Q.clear()\n",
    "        self.Nsa.clear()\n",
    "        self.total_learning_times = 0\n",
    "\n",
    "    \n",
    "    def epsilon_greedy_policy(self, dealer, epsilon = None):\n",
    "        '''这里的贪婪策略是带有epsilon参数的\n",
    "        '''\n",
    "        player_points, _ = self.get_points()\n",
    "        if player_points >= 21:\n",
    "            return self.A[1]\n",
    "        if player_points < 12:\n",
    "            return self.A[0]\n",
    "        else:\n",
    "            A, Q = self.A, self.Q\n",
    "            s = self.get_state_name(dealer)\n",
    "            if epsilon is None:\n",
    "                #epsilon = 1.0/(self.total_learning_times+1)\n",
    "                #epsilon = 1.0/(1 + math.sqrt(1 + player.total_learning_times))\n",
    "                epsilon = 1.0/(1 + 4 * math.log10(1+player.total_learning_times))\n",
    "            return epsilon_greedy_policy(A, s, Q, epsilon)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "A=[\"继续叫牌\",\"停止叫牌\"]\n",
    "display = False\n",
    "player = MC_Player(A = A, display = display)\n",
    "dealer = Dealer(A = A, display = display)\n",
    "# 创建一个场景\n",
    "arena = Arena(A = A, display=display)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 200000/200000 [00:25<00:00, 7991.15it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "共玩了200000局，玩家赢85019局，和15790局，输99191局，胜率：0.43,不输率:0.50\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "arena.play_games(dealer = dealer, player = player,num = 200000, show_statistic = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_value(player.Q, useable_ace = True, is_q_dict=True, A = player.A)\n",
    "draw_policy(epsilon_greedy_policy, player.A, player.Q, epsilon = 1e-10, useable_ace = True)\n",
    "draw_value(player.Q, useable_ace = False, is_q_dict=True, A = player.A)\n",
    "draw_policy(epsilon_greedy_policy, player.A, player.Q, epsilon = 1e-10, useable_ace = False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "display = False\n",
    "arena.display = display\n",
    "player.display = display\n",
    "dealer.display = display\n",
    "arena.play_games(dealer,player,num=10000, show_statistic = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "display = True\n",
    "arena.display = display\n",
    "player.display = display\n",
    "dealer.display = display\n",
    "arena.play_games(dealer,player,num=10, show_statistic = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
